13093172400 has 720 divisors, whose sum is σ = 55025906688. Its totient is φ = 2628864000.

The previous prime is 13093172381. The next prime is 13093172413. The reversal of 13093172400 is 427139031.

It is a super-3 number, since 3×13093172400³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20050474 + ... + 20051126.

Almost surely, 2^13093172400 is an apocalyptic number.

13093172400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13093172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27512953344).

13093172400 is an abundant number, since it is smaller than the sum of its proper divisors (41932734288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13093172400 is a wasteful number, since it uses less digits than its factorization.

13093172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 13093172400 in words is "thirteen billion, ninety-three million, one hundred seventy-two thousand, four hundred".